Least Common Multiple of 2639 and 2646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2639 and 2646 the smallest integer that is 997542 that is divisible by both numbers.

Least Common Multiple (LCM) of 2639 and 2646 is 997542.

LCM(2639,2646) = 997542

LCM of 2639 and 2646

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 2639 and 2646

LCM of 2639 and 2646 is 997542

Least common multiple can be found by multiplying the highest exponent prime factors of 2639 and 2646. First we will calculate the prime factors of 2639 and 2646.

Prime Factorization of 2639


7 2639
13 377
29 29
1

Prime factors of 2639 are 7, 13,29. Prime factorization of 2639 in exponential form is:

2639 = 71×131×291

Prime Factorization of 2646


2 2646
3 1323
3 441
3 147
7 49
7 7
1

Prime factors of 2646 are 2, 3,7. Prime factorization of 2646 in exponential form is:

2646 = 21×33×72

Now multiplying the highest exponent prime factors to calculate the LCM of 2639 and 2646.

LCM(2639,2646) = 21×33×72×131×291
LCM(2639,2646) = 997542

Factors of 2639

List of positive integer factors of 2639 that divides 2639 without a remainder.

1, 7, 13, 29, 91, 203, 377, 2639

Factors of 2646

List of positive integer factors of 2646 that divides 2646 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646

Least Common Multiple of 2639 and 2646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2639 and 2646, than apply into the LCM equation.

GCF(2639,2646) = 7
LCM(2639,2646) = ( 2639 × 2646) / 7
LCM(2639,2646) = 6982794 / 7
LCM(2639,2646) = 997542

Properties of LCM 2639 and 2646

(i) The LCM of 2646 and 2639 is associative

LCM of 2639 and 2646 = LCM of 2646 and 2639

Related Least Common Multiples of 2639

Related Least Common Multiples of 2646

Frequently Asked Questions on LCM of 2639 and 2646

1. What is the LCM of 2639 and 2646?

Answer: LCM of 2639 and 2646 is 997542.

2. What are the Factors of 2639?

Answer: Factors of 2639 are 1, 7, 13, 29, 91, 203, 377, 2639. There are 8 integers that are factors of 2639. The greatest factor of 2639 is 2639.

3. What are the Factors of 2646?

Answer: Factors of 2646 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 98, 126, 147, 189, 294, 378, 441, 882, 1323, 2646. There are 24 integers that are factors of 2646. The greatest factor of 2646 is 2646.

4. How to Find the LCM of 2639 and 2646?

Answer:

Least Common Multiple of 2639 and 2646 = 997542

Step 1: Find the prime factorization of 2639

2639 = 7 x 13 x 29

Step 2: Find the prime factorization of 2646

2646 = 2 x 3 x 3 x 3 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 997542 = 2 x 3 x 3 x 3 x 7 x 7 x 13 x 29

Step 4: Therefore, the least common multiple of 2639 and 2646 is 997542.